Question 23

How many triangles are there in the given figure?

Solution

The different triangles in the figure ACIG are ABE, BEC, CED, DEI, IEH, HEG, GEF, FEA, AEC, CEI, IEG, GEA, AIG, AIC, GCA, GCI.

Number of triangles in the figure ACIG = 16.

Since figure MLKJ is similar to ACIG, the number of triangles in the figure MKLJ is equal to the number of triangles in the figure ACIG.

Number of triangles in the figure MLKJ = 16

$$\therefore\ $$Number of triangles in the given figure = 16 + 16 = 32

Hence, the correct answer is Option C

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